A random sample of 15 teachers from Rhode Island has anaverage salary of $35,270, with a standard deviation of $3256. A random sampleof 30 teachers from New York has an average salary of $29,512,...

A random sample of 15 teachers from Rhode Island has an average salary of $35,270, with a standard deviation of $3256. A random sample of 30 teachers from New York has an average salary of $29,512, with a standard deviation of $1432. Is there a significant difference in teachers’ salaries between the two states? Use

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α
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=0.02. Find the 98% confidence interval for the difference of the two means.